Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces

Michael Dreher

doi:10.1016/S0007-4497(03)00026-5

Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces

Michael Dreher

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We discuss evolution operators of Schrodinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp. (C) 2003 tditions scientifiques et medicales Elsevier SAS. All rights reserved.

Original language	English
Pages (from-to)	485-503
Number of pages	19
Journal	Bulletin des Sciences Mathématiques
Volume	127
Issue number	6
DOIs	https://doi.org/10.1016/S0007-4497(03)00026-5
Publication status	Published - Aug 2003

Keywords

Schrodinger operator
non-self-adjoint lower order term
CAUCHY-PROBLEM

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10.1016/S0007-4497(03)00026-5

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title = "Necessary conditions for the well-posedness of Schr{\"o}dinger type equations in Gevrey spaces",

abstract = "We discuss evolution operators of Schrodinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp. (C) 2003 tditions scientifiques et medicales Elsevier SAS. All rights reserved.",

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T1 - Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces

AU - Dreher, Michael

PY - 2003/8

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N2 - We discuss evolution operators of Schrodinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp. (C) 2003 tditions scientifiques et medicales Elsevier SAS. All rights reserved.

AB - We discuss evolution operators of Schrodinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp. (C) 2003 tditions scientifiques et medicales Elsevier SAS. All rights reserved.

KW - Schrodinger operator

KW - non-self-adjoint lower order term

KW - CAUCHY-PROBLEM

U2 - 10.1016/S0007-4497(03)00026-5

DO - 10.1016/S0007-4497(03)00026-5

M3 - Article

SN - 0007-4497

VL - 127

SP - 485

EP - 503

JO - Bulletin des Sciences Mathématiques

JF - Bulletin des Sciences Mathématiques

IS - 6

ER -

Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces

Abstract

Keywords

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